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The cumulative number of primes always increases because larger ranges contain more primes in absolute terms. However, the density decreases because the proportion of primes relative to the total number of integers searched drops as x grows.

Conditions: x increases through the displayed powers of ten.; Density is defined as (# primes)/(size).

The cumulative number of primes always increases because larger ranges contain more primes in absolute terms. However, the density decreases because the proportion of primes relative to the total number of integers searched drops as x grows.

Conditions: x increases through the displayed powers of ten.; Density is defined as (# primes)/(size).